The generator matrix

 1  0  0  0  0  1  1  1  1  1  X  1  X  1 2X  1 2X  1  1  1  1  0 2X  1  1  X  1  1  1 2X  1 2X  1  0  1  1  0  1  1  X  1  0  1
 0  1  0  0  0 2X  1  1 2X+2 2X 2X X+2  1  0  0  X  1  0 2X X+1 2X+2  1  1  1  1  1  2  2 2X+1  X 2X+2  1 X+2  X 2X+2  0  1 2X+2 X+1  0  1  1 2X
 0  0  1  0  0  0  0 2X  X 2X  X 2X  0  1  1 X+2 X+1 X+1  2 X+1  2 X+1 X+2  2  1  2 X+1  2 2X+2  1 2X+2 X+1 2X  1  0 2X+2 X+2  X X+1  1  1 2X+1  0
 0  0  0  1  0 2X+1  1 X+2  0  2  1 X+1 X+1  1 2X+1  X  0 2X X+2  0  1  X 2X+1 X+1  2  2 2X+2 X+2 2X  1 X+2  2 X+2 X+2  X X+1  0 X+1 X+1  X 2X+1  X  0
 0  0  0  0  1 2X+2  X 2X+2 X+1 X+1  1 2X 2X+2 2X  2 X+1  1 2X+1  2 2X  1 2X+2 2X X+2 2X+1 X+1  X 2X+1  2  1 2X  2  X  0  X 2X+2 X+2 X+2  1  1  X  X  X

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+112x^72+258x^73+408x^74+810x^75+984x^76+1188x^77+2020x^78+1662x^79+2136x^80+3454x^81+2478x^82+3054x^83+4526x^84+3510x^85+3324x^86+4884x^87+3876x^88+3792x^89+4606x^90+2922x^91+2346x^92+2486x^93+1356x^94+1008x^95+942x^96+420x^97+192x^98+186x^99+30x^100+42x^101+26x^102+6x^104+2x^105+2x^108

The gray image is a linear code over GF(3) with n=129, k=10 and d=72.
This code was found by Heurico 1.16 in 38.2 seconds.